Langley, Batty, 1696-1751 / The city and country builder's and workman's treasury of designs, or, The art of drawing and working the ornamental parts of architecture
Chap. 1. Of the manner of proportioning the five orders of columns in architecture, pp. -16
12 PRO B. VI. To proportion the He,~hts of the Members of the Safe of the Corinthian Column, Fig. IL Plate IX. (i.) Divide ~h n the given Height in three Parts, the lower i is the Height of the Plinth. (2.) Divide the middle i in ~ Parts, and the fourth Part thereof, in 3 Parts; give the upper i Part thereof, to the Height of the Fillet F, the other two Parts, to the Aft ragal G; and the Re- mains of the middle Part, to the Height of the lower Torus, H. (s.) Divide the upper i Part in ~; and the fecond and third Parts thereof, each in 3 Parts; give the upper third Part, of the fecond fifth Part, to the Fillet under the A- ifragal D; the next two Parts to the Aifragal D, and the Remains upward, to the Torus C. The Height of the Aitragal B and Cin&ure A, is equal to half the Height of the upper Torus, which divide in 3, and give i to the Cin&ure and 2 to the Aifragal. The Scotia E is defcribed at large, Fig. III. as follows. Divide the Height af in 7 Parts; through the third Part, draw d b; make 7 1', equal to fg, and b c equal to b g; and - from c, to the Point 7, draw the Line c 7 e. On the Point 7, defcribe the Arch a d e; and on the Point c, the Arch eg, which completes the Scotia. Note, The Scotia of the Jonick Bafe is beft de- fcribed by this Method. P R 0 B. VII. To determine the Proje[lions of the Members of the !3afe of the Corinthian Column, Fig. II. Plate IX. (x.) Divide the Semidiameter in 3 Parts, and turn out i Part, for the Proje6tion of the Plinth and lower Torus. (2.) Divide the Projeaion of ~the Plinth before the Upright of the Shaft, into ~ Parts; then one Part and an half terminates the Proje&ion of the Aftra~al G, and~ofthenext~ of the Fillet F. The third Part terminates the Fillet under the Aftragal D, and Aftragal B; and 3 Parts and an half, terminates the Cin~ture A. PROB. VIII. To proportion the Heights of the Members of the Corinthian Capital, Plate X. Divide a h, the given Height, into 7 Parts; or 70 Minutes, (each Part being fuppofed to be divided in xo Parts, which are Minutes.) Then, to the Height of the firft Range of Leaves, give ,~o Minutes; to the fecond, 40 Minutes; to the third, 50 Minutes; and up to the Abacus 6o Minutes. Divide the Height of the Abacus in 2 Parts; give the lower x, to the Caveto g, one fixth of the up~r half to the Fillet e; and the Remains is the weight of the Ovolo d. The Height of the Aftragal h k, is ~ Minutes, which divide in 3, give i to the Fillet b, and 2 to the Aftragal a. 1' R 0 B. IX. To determine the Proje~ions of tke Members of the Corinthian Capital, Plate X. The better to explain this Capital, I have gi- ven a Quarter Part of its Plan, in two diff~rent Manners, as I have already done of the lonick Capital, viz, the one, of the fourth Part of a round Column; the other, of the like Part of a fquare Column; by which the Manner and Reafons of determining the Proje&ions of the Members in the Profile, may the better be uri- derifood. To effe& which, draw the Diameter of the Column at its Bafe, equally on each Side the central Line of the Capital; divide it in 6o Minutes, and continue out the fame, i~ Minutes on each Side, as before done in the lonick Order. As the Shaft of this Column is diminilhed one fixth of its Diameter at its Bafe, therefore from the fifth and fifty-fifth Minutes in the Diameter, draw the Out-lines of the upper Part of the Shaft next the Aftragal, and complete the Projeaion of the Afiragal, which is ~ Minutes, and its Fillet two thirds thereof. On any Part of the central Line as at A, with a Radius equal to 25 Mi- nutes, defcribe a Q.yadrant, which divide in 4 equal Parts, and from the three inward Divi- - fions, draw Lines parallel to the central Lines as thofe dotted Lines on the Left Hand Side, which are the central Lines of the Leaves. Now the Diftances and Heights of the Leaves being thus determined; proceed next to determine the Projedion of the Abacus, as follows, viz. Make the Projeaion of its Ovolo d, equal to 45 Minutes, its Fillet e, 42 Minutes and an half, and its Ca- veto f, 40 Minutes. Lafily, From the Extreme of the Abacus, to a the Extreme of the Afiragal, draw a Line; as that dotted, which terminates the Proje&ion of the Leaves, in the Middle Range; and make the Proje6tions of every o- ther particular Part, as exprefi~d by the dotted Parallels, proceeding from both Profiles, through the Scale of Minutes to the two Plans ; . which being very plain to Infpe&ion need no fur- ther Explan ~tion. The Number of Flutes and Fillets Of the CORINTI4IA1~T ORDER.
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